Answer:
Step-by-step explanation:
<u>Factored form of a parabola</u>
where:
- p and q are the x-intercepts.
- a is some constant.
Given x-intercepts:
- (1+√5, 0)
- (1-√5, 0)
Therefore:
To find a, substitute the given point (4, 8) into the equation and solve for a:
Therefore, the equation of the parabola in factored form is:
Expand so that the equation is in standard form: